9416761600 has 81 divisors (see below), whose sum is σ = 23327187303. Its totient is φ = 3763599360.

The previous prime is 9416761579. The next prime is 9416761619. The reversal of 9416761600 is 61676149.

The square root of 9416761600 is 97040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4130889984 + 5285871616 = 64272^2 + 72704^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7762594 + ... + 7763806.

Almost surely, 2^9416761600 is an apocalyptic number.

9416761600 is the 97040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9416761600

9416761600 is an abundant number, since it is smaller than the sum of its proper divisors (13910425703).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9416761600 is an frugal number, since it uses more digits than its factorization.

9416761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The cubic root of 9416761600 is about 2111.7079677331.

The spelling of 9416761600 in words is "nine billion, four hundred sixteen million, seven hundred sixty-one thousand, six hundred".